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Simplifying -2(5x + -11 + 4) = 7x + -19 + -1(x + 6) Reorder the terms: -2(-11 + 4 + 5x) = 7x + -19 + -1(x + 6) Combine like terms: -11 + 4 = -7 -2(-7 + 5x) = 7x + -19 + -1(x + 6) (-7 * -2 + 5x * -2) = 7x + -19 + -1(x + 6) (14 + -10x) = 7x + -19 + -1(x + 6) Reorder the terms: 14 + -10x = 7x + -19 + -1(6 + x) 14 + -10x = 7x + -19 + (6 * -1 + x * -1) 14 + -10x = 7x + -19 + (-6 + -1x) Reorder the terms: 14 + -10x = -19 + -6 + 7x + -1x Combine like terms: -19 + -6 = -25 14 + -10x = -25 + 7x + -1x Combine like terms: 7x + -1x = 6x 14 + -10x = -25 + 6x Solving 14 + -10x = -25 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 14 + -10x + -6x = -25 + 6x + -6x Combine like terms: -10x + -6x = -16x 14 + -16x = -25 + 6x + -6x Combine like terms: 6x + -6x = 0 14 + -16x = -25 + 0 14 + -16x = -25 Add '-14' to each side of the equation. 14 + -14 + -16x = -25 + -14 Combine like terms: 14 + -14 = 0 0 + -16x = -25 + -14 -16x = -25 + -14 Combine like terms: -25 + -14 = -39 -16x = -39 Divide each side by '-16'. x = 2.4375 Simplifying x = 2.4375
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